Answer:
The quantities used by Manuela were correct
Step-by-step explanation:
The question is
Did Manuela use the right quantities?
Let
x -----> the parts of oil
y ----> the parts of vinegar
we know that
The ratio of the parts of oil by the parts of vinegar of recipe is
Determine the relation used by Manuela
Compare with the recipe
Is true, the quantities are proportional
therefore
The quantities used by Manuela were correct
Given equation :
.
Strategy 1: We can cross mutiply both sides remove fraction form.
On cross multiplication, we get
x * 7 = 3 * 42
7x = 126.
Dividing both sides by 7, we get
<h3>
x = 18.</h3>
Strategy 2: We can find least common denominator(lcd) of both sides and multiplying both sides by that lcd to get rid denominators from both sides.
LCD of 42 and 7 is 42.
Therefore, multiplying both sides by 42, we get

x = 6 * 3
<h3>x = 18.</h3>
Answer:
x = 48 and y = 104
Step-by-step explanation:
Given equations are:

From equation 1:

Putting the value of y in equation 2

Now we have to put the value of y in one of the equation to find the value of x
Putting y = 104 in the first equation

Hence,
The solution of the system of equations is x = 48 and y = 104
The value of variable which was assumed for number of hats, is the total number of hats.
Answer: 60
Step-by-step explanation: